Atkin-Lehner |
5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35525s |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-2285653521484375 = -1 · 59 · 79 · 29 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- 2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11612,-2248233] |
[a1,a2,a3,a4,a6] |
Generators |
[194381:-2229995:1331] |
Generators of the group modulo torsion |
j |
2197/29 |
j-invariant |
L |
2.3282832725916 |
L(r)(E,1)/r! |
Ω |
0.22600470850314 |
Real period |
R |
10.301923743149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35525p1 35525r1 |
Quadratic twists by: 5 -7 |